In past years, the traditional Bayesian theory of rational decision
making, based on subjective calculations of expected utility, has faced
powerful attack from philosophers such as David Lewis and Brian Skyrms,
who advance an alternative causal decision theory. The test they present
for the Bayesian is exemplified in the decision problem known as
'Newcomb's paradox' and in related decision problems and is held to
support the prescriptions of the causal theory. As well as his
conclusions, the concepts and methods of Professor Eells introduces in
the course of his analyses have extensive implications, not solely for
probability theorists narrowly conceived, but for economists,
statisticians and psychologists concerned with decision making and the
employment of Bayesian principles. They and their students will, in
addition, find the early chapters of great use as a background and
introduction to the subject as a whole.